0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.37	% Computer : n017.cluster.edu
0.11/0.37	% Model    : x86_64 x86_64
0.11/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.37	% Memory   : 8046.5625MB
0.11/0.37	% OS       : Linux 6.8.0-71-generic
0.11/0.37	% CPULimit : 1440
0.11/0.37	% WCLimit  : 180
0.11/0.37	% DateTime : Mon Jul 27 14:21:37 UTC 2026
0.11/0.38	% CPUTime  : 
0.11/0.38	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.11/0.42	Running higher-order theorem proving
0.11/0.44	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p
377.29/52.99	% Version: 3.5.1-ho
377.29/52.99	% Preprocessing class: HSLSSMSMSSSNSFA.
377.29/52.99	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
377.29/52.99	% Starting new_ho_10 with 540s (3) cores
377.29/52.99	% Starting sh2lt with 180s (1) cores
377.29/52.99	% Starting new_ho_5 with 180s (1) cores
377.29/52.99	% Starting full_lambda_5 with 180s (1) cores
377.29/52.99	% Starting sh9 with 180s (1) cores
377.29/52.99	% Starting ehoh_best8_lambda with 180s (1) cores
377.29/52.99	% sh2lt with pid 1474914 completed with status 0
377.29/52.99	% Result found by sh2lt
377.29/52.99	% Preprocessing class: HSLSSMSMSSSNSFA.
377.29/52.99	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
377.29/52.99	% Starting new_ho_10 with 540s (3) cores
377.29/52.99	% Starting sh2lt with 180s (1) cores
377.29/52.99	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
377.29/52.99	% SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
377.29/52.99	% Search class: HGUSM-FFMM31-DSFFFFBN
377.29/52.99	% partial match(1): HGHSM-FFMM31-DSFFFFBN
377.29/52.99	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
377.29/52.99	% Starting SubtermCWHack with 17s (1) cores
377.29/52.99	% SubtermCWHack with pid 1474920 completed with status 8
377.29/52.99	% Starting sh2lt with 19s (1) cores
377.29/52.99	% sh2lt with pid 1474929 completed with status 8
377.29/52.99	% Starting pre_casc_8 with 17s (1) cores
377.29/52.99	% pre_casc_8 with pid 1474937 completed with status 0
377.29/52.99	% Result found by pre_casc_8
377.29/52.99	% Preprocessing class: HSLSSMSMSSSNSFA.
377.29/52.99	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
377.29/52.99	% Starting new_ho_10 with 540s (3) cores
377.29/52.99	% Starting sh2lt with 180s (1) cores
377.29/52.99	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
377.29/52.99	% SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
377.29/52.99	% Search class: HGUSM-FFMM31-DSFFFFBN
377.29/52.99	% partial match(1): HGHSM-FFMM31-DSFFFFBN
377.29/52.99	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
377.29/52.99	% Starting SubtermCWHack with 17s (1) cores
377.29/52.99	% SubtermCWHack with pid 1474920 completed with status 8
377.29/52.99	% Starting sh2lt with 19s (1) cores
377.29/52.99	% sh2lt with pid 1474929 completed with status 8
377.29/52.99	% Starting pre_casc_8 with 17s (1) cores
377.29/52.99	% Preprocessing time       : 0.002 s
377.29/52.99	% Presaturation interreduction done
377.29/52.99	
377.29/52.99	% Proof found!
377.29/52.99	% SZS status Theorem
377.29/52.99	% SZS output start CNFRefutation
377.29/52.99	thf(decl_sort1, type, del: $tType).
377.29/52.99	thf(decl_sort2, type, tp__ty_2Enum_2Enum: $tType).
377.29/52.99	thf(decl_23, type, bool: del).
377.29/52.99	thf(decl_25, type, arr: del > del > del).
377.29/52.99	thf(decl_26, type, mem: $i > del > $o).
377.29/52.99	thf(decl_27, type, ap: $i > $i > $i).
377.29/52.99	thf(decl_29, type, p: $i > $o).
377.29/52.99	thf(decl_30, type, inj__o: $o > $i).
377.29/52.99	thf(decl_33, type, c_2Ebool_2EF: $i).
377.29/52.99	thf(decl_34, type, c_2Ebool_2ET: $i).
377.29/52.99	thf(decl_35, type, ty_2Efcp_2Ecart: del > del > del).
377.29/52.99	thf(decl_36, type, c_2Ewords_2Eword__sub: del > $i).
377.29/52.99	thf(decl_37, type, ty_2Enum_2Enum: del).
377.29/52.99	thf(decl_38, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i).
377.29/52.99	thf(decl_40, type, c_2Earithmetic_2E_2D: $i).
377.29/52.99	thf(decl_41, type, fo__c_2Earithmetic_2E_2D: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum).
377.29/52.99	thf(decl_42, type, c_2Earithmetic_2E_3C_3D: $i).
377.29/52.99	thf(decl_43, type, c_2Ebool_2ECOND: del > $i).
377.29/52.99	thf(decl_44, type, c_2Earithmetic_2E_2B: $i).
377.29/52.99	thf(decl_46, type, c_2Ewords_2En2w: del > $i).
377.29/52.99	thf(decl_47, type, c_2Ewords_2Eword__2comp: del > $i).
377.29/52.99	thf(decl_48, type, c_2Ewords_2Eword__add: del > $i).
377.29/52.99	thf(decl_52, type, esk1_0: del).
377.29/52.99	thf(decl_53, type, esk2_0: tp__ty_2Enum_2Enum).
377.29/52.99	thf(decl_54, type, esk3_0: tp__ty_2Enum_2Enum).
377.29/52.99	thf(stp_iso_mem_o, axiom, ![X4:$i]:((((X4)=(inj__o @ ((p @ X4))))<=(mem @ X4 @ bool))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', stp_iso_mem_o)).
377.29/52.99	thf(ap_tp, axiom, ![X1:del, X2:del, X8:$i]:(((mem @ X8 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X8 @ X4) @ X2))))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', ap_tp)).
377.29/52.99	thf(stp_inj_mem_ty_2Enum_2Enum, axiom, ![X17:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X17) @ ty_2Enum_2Enum)), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', stp_inj_mem_ty_2Enum_2Enum)).
377.29/52.99	thf(mem_c_2Ebool_2ET, axiom, (mem @ c_2Ebool_2ET @ bool), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', mem_c_2Ebool_2ET)).
377.29/52.99	thf(ax_true_p, axiom, (p @ c_2Ebool_2ET), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', ax_true_p)).
377.29/52.99	thf(mem_c_2Earithmetic_2E_3C_3D, axiom, (mem @ c_2Earithmetic_2E_3C_3D @ (arr @ ty_2Enum_2Enum @ (arr @ ty_2Enum_2Enum @ bool))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', mem_c_2Earithmetic_2E_3C_3D)).
377.29/52.99	thf(mem_c_2Ewords_2En2w, axiom, ![X11:del]:((mem @ (c_2Ewords_2En2w @ X11) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X11)))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', mem_c_2Ewords_2En2w)).
377.29/52.99	thf(conj_thm_2Ewords_2En2w__sub, conjecture, ![X11:del, X31:tp__ty_2Enum_2Enum, X32:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X32)) @ (inj__ty_2Enum_2Enum @ X31)))=>((ap @ (c_2Ewords_2En2w @ X11) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X31)) @ (inj__ty_2Enum_2Enum @ X32)))=(ap @ (ap @ (c_2Ewords_2Eword__sub @ X11) @ (ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ X31))) @ (ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ X32)))))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', conj_thm_2Ewords_2En2w__sub)).
377.29/52.99	thf(ax_thm_2Ewords_2Eword__sub__def, axiom, ![X11:del, X42:$i]:((![X43:$i]:(((mem @ X43 @ (ty_2Efcp_2Ecart @ bool @ X11))=>((ap @ (ap @ (c_2Ewords_2Eword__sub @ X11) @ X42) @ X43)=(ap @ (ap @ (c_2Ewords_2Eword__add @ X11) @ X42) @ (ap @ (c_2Ewords_2Eword__2comp @ X11) @ X43)))))<=(mem @ X42 @ (ty_2Efcp_2Ecart @ bool @ X11)))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', ax_thm_2Ewords_2Eword__sub__def)).
377.29/52.99	thf(conj_thm_2Ewords_2EWORD__LITERAL__ADD, axiom, ![X11:del, X12:del]:((![X13:tp__ty_2Enum_2Enum, X14:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (c_2Ewords_2Eword__add @ X11) @ (ap @ (c_2Ewords_2Eword__2comp @ X11) @ (ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ X13)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X11) @ (ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ X14))))=(ap @ (c_2Ewords_2Eword__2comp @ X11) @ (ap @ (c_2Ewords_2En2w @ X11) @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14))))))&![X15:tp__ty_2Enum_2Enum, X16:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (c_2Ewords_2Eword__add @ X12) @ (ap @ (c_2Ewords_2En2w @ X12) @ (inj__ty_2Enum_2Enum @ X15))) @ (ap @ (c_2Ewords_2Eword__2comp @ X12) @ (ap @ (c_2Ewords_2En2w @ X12) @ (inj__ty_2Enum_2Enum @ X16))))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X12)) @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X16)) @ (inj__ty_2Enum_2Enum @ X15))) @ (ap @ (c_2Ewords_2En2w @ X12) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X15)) @ (inj__ty_2Enum_2Enum @ X16)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X12) @ (ap @ (c_2Ewords_2En2w @ X12) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X16)) @ (inj__ty_2Enum_2Enum @ X15))))))))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', conj_thm_2Ewords_2EWORD__LITERAL__ADD)).
377.29/52.99	thf(stp_eq_fo_c_2Earithmetic_2E_2D, axiom, ![X36:tp__ty_2Enum_2Enum, X37:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X36 @ X37))=(ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X36)) @ (inj__ty_2Enum_2Enum @ X37)))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', stp_eq_fo_c_2Earithmetic_2E_2D)).
377.29/52.99	thf(conj_thm_2Ebool_2Ebool__case__thm, axiom, ![X11:del]:((![X39:$i]:((![X40:$i]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2EF) @ X39) @ X40)=(X40))<=(mem @ X40 @ X11)))<=(mem @ X39 @ X11)))&![X33:$i]:((![X34:$i]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2ET) @ X33) @ X34)=(X33))<=(mem @ X34 @ X11)))<=(mem @ X33 @ X11))))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', conj_thm_2Ebool_2Ebool__case__thm)).
377.29/52.99	thf(mem_c_2Ewords_2Eword__2comp, axiom, ![X11:del]:((mem @ (c_2Ewords_2Eword__2comp @ X11) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X11) @ (ty_2Efcp_2Ecart @ bool @ X11)))), file('/export/starexec/sandbox/tmp/tmp.T44lVAvoMt/E---3.1_1474900.p', mem_c_2Ewords_2Eword__2comp)).
377.29/52.99	thf(c_0_13, plain, ![X4:$i]:(((mem @ X4 @ bool)=>((~(p @ X4)|((X4)=(inj__o @ $true)))&((p @ X4)|((X4)=(inj__o @ $false)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[stp_iso_mem_o])])).
377.29/52.99	thf(c_0_14, plain, ![X114:del, X115:del, X116:$i, X117:$i]:((~(mem @ X116 @ (arr @ X114 @ X115))|(~(mem @ X117 @ X114)|(mem @ (ap @ X116 @ X117) @ X115)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])).
377.29/52.99	thf(c_0_15, plain, ![X139:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X139) @ ty_2Enum_2Enum)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Enum_2Enum])).
377.29/52.99	thf(c_0_16, plain, ![X147:$i]:(((~(p @ X147)|((X147)=(inj__o @ $true))|~(mem @ X147 @ bool))&((p @ X147)|((X147)=(inj__o @ $false))|~(mem @ X147 @ bool)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])).
377.29/52.99	thf(c_0_17, plain, ![X4:$i, X5:$i, X2:del, X1:del]:(((mem @ (ap @ X4 @ X5) @ X2)|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_14])).
377.29/52.99	thf(c_0_18, plain, ![X13:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X13) @ ty_2Enum_2Enum)), inference(split_conjunct,[status(thm)],[c_0_15])).
377.29/52.99	thf(c_0_19, plain, ![X4:$i]:((((X4)=(inj__o @ (($true))))|~((p @ X4))|~((mem @ X4 @ bool)))), inference(split_conjunct,[status(thm)],[c_0_16])).
377.29/52.99	thf(c_0_20, plain, (mem @ c_2Ebool_2ET @ bool), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])).
377.29/52.99	thf(c_0_21, plain, (p @ c_2Ebool_2ET), inference(split_conjunct,[status(thm)],[ax_true_p])).
377.29/52.99	thf(c_0_22, plain, ![X4:$i, X13:tp__ty_2Enum_2Enum, X1:del]:(((mem @ (ap @ X4 @ (inj__ty_2Enum_2Enum @ X13)) @ X1)|~((mem @ X4 @ (arr @ ty_2Enum_2Enum @ X1))))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
377.29/52.99	thf(c_0_23, plain, (mem @ c_2Earithmetic_2E_3C_3D @ (arr @ ty_2Enum_2Enum @ (arr @ ty_2Enum_2Enum @ bool))), inference(split_conjunct,[status(thm)],[mem_c_2Earithmetic_2E_3C_3D])).
377.29/52.99	thf(c_0_24, plain, ![X142:del]:((mem @ (c_2Ewords_2En2w @ X142) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X142)))), inference(variable_rename,[status(thm)],[mem_c_2Ewords_2En2w])).
377.29/52.99	thf(c_0_25, plain, ((inj__o @ (($true)))=(c_2Ebool_2ET)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21])])).
377.29/52.99	thf(c_0_26, plain, ![X13:tp__ty_2Enum_2Enum]:((mem @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X13)) @ (arr @ ty_2Enum_2Enum @ bool))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
377.29/52.99	thf(c_0_27, negated_conjecture, ~(![X11:del, X31:tp__ty_2Enum_2Enum, X32:tp__ty_2Enum_2Enum]:(((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X32)) @ (inj__ty_2Enum_2Enum @ X31)))=>((ap @ (c_2Ewords_2En2w @ X11) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X31)) @ (inj__ty_2Enum_2Enum @ X32)))=(ap @ (ap @ (c_2Ewords_2Eword__sub @ X11) @ (ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ X31))) @ (ap @ (c_2Ewords_2En2w @ X11) @ (inj__ty_2Enum_2Enum @ X32))))))), inference(assume_negation,[status(cth)],[conj_thm_2Ewords_2En2w__sub])).
377.29/52.99	thf(c_0_28, plain, ![X11:del, X42:$i]:(((mem @ X42 @ (ty_2Efcp_2Ecart @ bool @ X11))=>![X43:$i]:(((mem @ X43 @ (ty_2Efcp_2Ecart @ bool @ X11))=>((ap @ (ap @ (c_2Ewords_2Eword__sub @ X11) @ X42) @ X43)=(ap @ (ap @ (c_2Ewords_2Eword__add @ X11) @ X42) @ (ap @ (c_2Ewords_2Eword__2comp @ X11) @ X43))))))), inference(fof_simplification,[status(thm)],[ax_thm_2Ewords_2Eword__sub__def])).
377.29/52.99	thf(c_0_29, plain, ![X1:del]:((mem @ (c_2Ewords_2En2w @ X1) @ (arr @ ty_2Enum_2Enum @ (ty_2Efcp_2Ecart @ bool @ X1)))), inference(split_conjunct,[status(thm)],[c_0_24])).
377.29/52.99	thf(c_0_30, plain, ![X118:del, X119:del, X120:tp__ty_2Enum_2Enum, X121:tp__ty_2Enum_2Enum, X122:tp__ty_2Enum_2Enum, X123:tp__ty_2Enum_2Enum]:((((ap @ (ap @ (c_2Ewords_2Eword__add @ X118) @ (ap @ (c_2Ewords_2Eword__2comp @ X118) @ (ap @ (c_2Ewords_2En2w @ X118) @ (inj__ty_2Enum_2Enum @ X120)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X118) @ (ap @ (c_2Ewords_2En2w @ X118) @ (inj__ty_2Enum_2Enum @ X121))))=(ap @ (c_2Ewords_2Eword__2comp @ X118) @ (ap @ (c_2Ewords_2En2w @ X118) @ (ap @ (ap @ c_2Earithmetic_2E_2B @ (inj__ty_2Enum_2Enum @ X120)) @ (inj__ty_2Enum_2Enum @ X121)))))&((ap @ (ap @ (c_2Ewords_2Eword__add @ X119) @ (ap @ (c_2Ewords_2En2w @ X119) @ (inj__ty_2Enum_2Enum @ X122))) @ (ap @ (c_2Ewords_2Eword__2comp @ X119) @ (ap @ (c_2Ewords_2En2w @ X119) @ (inj__ty_2Enum_2Enum @ X123))))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X119)) @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X123)) @ (inj__ty_2Enum_2Enum @ X122))) @ (ap @ (c_2Ewords_2En2w @ X119) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X122)) @ (inj__ty_2Enum_2Enum @ X123)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X119) @ (ap @ (c_2Ewords_2En2w @ X119) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X123)) @ (inj__ty_2Enum_2Enum @ X122)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[conj_thm_2Ewords_2EWORD__LITERAL__ADD])])).
377.29/52.99	thf(c_0_31, plain, ![X144:tp__ty_2Enum_2Enum, X145:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X144 @ X145))=(ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X144)) @ (inj__ty_2Enum_2Enum @ X145)))), inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Earithmetic_2E_2D])).
377.29/52.99	thf(c_0_32, plain, ![X4:$i]:((((X4)=(c_2Ebool_2ET))|~((mem @ X4 @ bool))|~((p @ X4)))), inference(rw,[status(thm)],[c_0_19, c_0_25])).
377.29/52.99	thf(c_0_33, plain, ![X13:tp__ty_2Enum_2Enum, X14:tp__ty_2Enum_2Enum]:((mem @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14)) @ bool)), inference(spm,[status(thm)],[c_0_22, c_0_26])).
377.29/52.99	thf(c_0_34, negated_conjecture, ((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ esk3_0)) @ (inj__ty_2Enum_2Enum @ esk2_0)))&((ap @ (c_2Ewords_2En2w @ esk1_0) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ esk2_0)) @ (inj__ty_2Enum_2Enum @ esk3_0)))!=(ap @ (ap @ (c_2Ewords_2Eword__sub @ esk1_0) @ (ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ esk2_0))) @ (ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ esk3_0))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])).
377.29/52.99	thf(c_0_35, plain, ![X136:del, X137:$i, X138:$i]:((~(mem @ X137 @ (ty_2Efcp_2Ecart @ bool @ X136))|(~(mem @ X138 @ (ty_2Efcp_2Ecart @ bool @ X136))|((ap @ (ap @ (c_2Ewords_2Eword__sub @ X136) @ X137) @ X138)=(ap @ (ap @ (c_2Ewords_2Eword__add @ X136) @ X137) @ (ap @ (c_2Ewords_2Eword__2comp @ X136) @ X138)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])).
377.29/52.99	thf(c_0_36, plain, ![X11:del]:((![X39:$i]:(((mem @ X39 @ X11)=>![X40:$i]:(((mem @ X40 @ X11)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2EF) @ X39) @ X40)=(X40))))))&![X33:$i]:(((mem @ X33 @ X11)=>![X34:$i]:(((mem @ X34 @ X11)=>((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X11) @ c_2Ebool_2ET) @ X33) @ X34)=(X33)))))))), inference(fof_simplification,[status(thm)],[conj_thm_2Ebool_2Ebool__case__thm])).
377.29/52.99	thf(c_0_37, plain, ![X13:tp__ty_2Enum_2Enum, X1:del]:((mem @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13)) @ (ty_2Efcp_2Ecart @ bool @ X1))), inference(spm,[status(thm)],[c_0_22, c_0_29])).
377.29/52.99	thf(c_0_38, plain, ![X163:del]:((mem @ (c_2Ewords_2Eword__2comp @ X163) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X163) @ (ty_2Efcp_2Ecart @ bool @ X163)))), inference(variable_rename,[status(thm)],[mem_c_2Ewords_2Eword__2comp])).
377.29/52.99	thf(c_0_39, plain, ![X1:del, X14:tp__ty_2Enum_2Enum, X13:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X14))))=(ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X14)) @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X14)) @ (inj__ty_2Enum_2Enum @ X13))))))), inference(split_conjunct,[status(thm)],[c_0_30])).
377.29/52.99	thf(c_0_40, plain, ![X13:tp__ty_2Enum_2Enum, X14:tp__ty_2Enum_2Enum]:(((inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X13 @ X14))=(ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])).
377.29/52.99	thf(c_0_41, plain, ![X13:tp__ty_2Enum_2Enum, X14:tp__ty_2Enum_2Enum]:((((ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14))=(c_2Ebool_2ET))|~((p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14)))))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
377.29/52.99	thf(c_0_42, negated_conjecture, (p @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ esk3_0)) @ (inj__ty_2Enum_2Enum @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_34])).
377.29/52.99	thf(c_0_43, plain, ![X4:$i, X5:$i, X1:del]:((((ap @ (ap @ (c_2Ewords_2Eword__sub @ X1) @ X4) @ X5)=(ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ X4) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ X5)))|~((mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X1)))|~((mem @ X5 @ (ty_2Efcp_2Ecart @ bool @ X1))))), inference(split_conjunct,[status(thm)],[c_0_35])).
377.29/52.99	thf(c_0_44, plain, ![X131:del, X132:$i, X133:$i, X134:$i, X135:$i]:(((~(mem @ X132 @ X131)|(~(mem @ X133 @ X131)|((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X131) @ c_2Ebool_2EF) @ X132) @ X133)=(X133))))&(~(mem @ X134 @ X131)|(~(mem @ X135 @ X131)|((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X131) @ c_2Ebool_2ET) @ X134) @ X135)=(X134)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])).
377.29/52.99	thf(c_0_45, plain, ![X4:$i, X1:del, X13:tp__ty_2Enum_2Enum, X2:del]:(((mem @ (ap @ X4 @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))) @ X2)|~((mem @ X4 @ (arr @ (ty_2Efcp_2Ecart @ bool @ X1) @ X2))))), inference(spm,[status(thm)],[c_0_17, c_0_37])).
377.29/52.99	thf(c_0_46, plain, ![X1:del]:((mem @ (c_2Ewords_2Eword__2comp @ X1) @ (arr @ (ty_2Efcp_2Ecart @ bool @ X1) @ (ty_2Efcp_2Ecart @ bool @ X1)))), inference(split_conjunct,[status(thm)],[c_0_38])).
377.29/52.99	thf(c_0_47, plain, ![X1:del, X14:tp__ty_2Enum_2Enum, X13:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ (ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ X13)) @ (inj__ty_2Enum_2Enum @ X14))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X14 @ X13)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ X13 @ X14)))))=(ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X14))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40]), c_0_40])).
377.29/52.99	thf(c_0_48, negated_conjecture, ((ap @ (ap @ c_2Earithmetic_2E_3C_3D @ (inj__ty_2Enum_2Enum @ esk3_0)) @ (inj__ty_2Enum_2Enum @ esk2_0))=(c_2Ebool_2ET)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
377.29/52.99	thf(c_0_49, plain, ![X4:$i, X13:tp__ty_2Enum_2Enum, X1:del]:((((ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ X4) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))))=(ap @ (ap @ (c_2Ewords_2Eword__sub @ X1) @ X4) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))))|~((mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X1))))), inference(spm,[status(thm)],[c_0_43, c_0_37])).
377.29/52.99	thf(c_0_50, plain, ![X4:$i, X5:$i, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ X1) @ c_2Ebool_2ET) @ X4) @ X5)=(X4))|~((mem @ X4 @ X1))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_44])).
377.29/52.99	thf(c_0_51, plain, ![X13:tp__ty_2Enum_2Enum, X1:del]:((mem @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))) @ (ty_2Efcp_2Ecart @ bool @ X1))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
377.29/52.99	thf(c_0_52, negated_conjecture, ![X1:del]:(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ c_2Ebool_2ET) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk2_0 @ esk3_0)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk3_0 @ esk2_0)))))=(ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk2_0))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk3_0)))))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
377.29/52.99	thf(c_0_53, plain, ![X1:del, X13:tp__ty_2Enum_2Enum, X14:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (c_2Ewords_2Eword__add @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X14))))=(ap @ (ap @ (c_2Ewords_2Eword__sub @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X14))))), inference(spm,[status(thm)],[c_0_49, c_0_37])).
377.29/52.99	thf(c_0_54, plain, ![X4:$i, X13:tp__ty_2Enum_2Enum, X1:del]:((((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ c_2Ebool_2ET) @ X4) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))))=(X4))|~((mem @ X4 @ (ty_2Efcp_2Ecart @ bool @ X1))))), inference(spm,[status(thm)],[c_0_50, c_0_51])).
377.29/52.99	thf(c_0_55, negated_conjecture, ((ap @ (c_2Ewords_2En2w @ esk1_0) @ (ap @ (ap @ c_2Earithmetic_2E_2D @ (inj__ty_2Enum_2Enum @ esk2_0)) @ (inj__ty_2Enum_2Enum @ esk3_0)))!=(ap @ (ap @ (c_2Ewords_2Eword__sub @ esk1_0) @ (ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ esk2_0))) @ (ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_34])).
377.29/52.99	thf(c_0_56, negated_conjecture, ![X1:del]:(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ c_2Ebool_2ET) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk2_0 @ esk3_0)))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk3_0 @ esk2_0)))))=(ap @ (ap @ (c_2Ewords_2Eword__sub @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk2_0))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk3_0))))), inference(rw,[status(thm)],[c_0_52, c_0_53])).
377.29/52.99	thf(c_0_57, plain, ![X1:del, X14:tp__ty_2Enum_2Enum, X13:tp__ty_2Enum_2Enum]:(((ap @ (ap @ (ap @ (c_2Ebool_2ECOND @ (ty_2Efcp_2Ecart @ bool @ X1)) @ c_2Ebool_2ET) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13))) @ (ap @ (c_2Ewords_2Eword__2comp @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X14))))=(ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ X13)))), inference(spm,[status(thm)],[c_0_54, c_0_37])).
377.29/52.99	thf(c_0_58, negated_conjecture, ((ap @ (ap @ (c_2Ewords_2Eword__sub @ esk1_0) @ (ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ esk2_0))) @ (ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ esk3_0)))!=(ap @ (c_2Ewords_2En2w @ esk1_0) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk2_0 @ esk3_0)))), inference(rw,[status(thm)],[c_0_55, c_0_40])).
377.29/52.99	thf(c_0_59, negated_conjecture, ![X1:del]:(((ap @ (ap @ (c_2Ewords_2Eword__sub @ X1) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk2_0))) @ (ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ esk3_0)))=(ap @ (c_2Ewords_2En2w @ X1) @ (inj__ty_2Enum_2Enum @ (fo__c_2Earithmetic_2E_2D @ esk2_0 @ esk3_0))))), inference(rw,[status(thm)],[c_0_56, c_0_57])).
377.29/52.99	thf(c_0_60, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59])]), ['proof']).
377.29/52.99	% SZS output end CNFRefutation
377.29/52.99	% Parsed axioms                        : 77
377.29/52.99	% Removed by relevancy pruning/SinE    : 44
377.29/52.99	% Initial clauses                      : 103
377.29/52.99	% Removed in clause preprocessing      : 67
377.29/52.99	% Initial clauses in saturation        : 36
377.29/52.99	% Processed clauses                    : 6441
377.29/52.99	% ...of these trivial                  : 471
377.29/52.99	% ...subsumed                          : 2075
377.29/52.99	% ...remaining for further processing  : 3895
377.29/52.99	% Other redundant clauses eliminated   : 6
377.29/52.99	% Clauses deleted for lack of memory   : 0
377.29/52.99	% Backward-subsumed                    : 13
377.29/52.99	% Backward-rewritten                   : 53
377.29/52.99	% Generated clauses                    : 400754
377.29/52.99	% ...of the previous two non-redundant : 394607
377.29/52.99	% ...aggressively subsumed             : 0
377.29/52.99	% Contextual simplify-reflections      : 5
377.29/52.99	% Paramodulations                      : 400737
377.29/52.99	% Factorizations                       : 11
377.29/52.99	% NegExts                              : 0
377.29/52.99	% Equation resolutions                 : 7
377.29/52.99	% Disequality decompositions           : 0
377.29/52.99	% Total rewrite steps                  : 15520
377.29/52.99	% ...of those cached                   : 14142
377.29/52.99	% Propositional unsat checks           : 0
377.29/52.99	%    Propositional check models        : 0
377.29/52.99	%    Propositional check unsatisfiable : 0
377.29/52.99	%    Propositional clauses             : 0
377.29/52.99	%    Propositional clauses after purity: 0
377.29/52.99	%    Propositional unsat core size     : 0
377.29/52.99	%    Propositional preprocessing time  : 0.000
377.29/52.99	%    Propositional encoding time       : 0.000
377.29/52.99	%    Propositional solver time         : 0.000
377.29/52.99	%    Success case prop preproc time    : 0.000
377.29/52.99	%    Success case prop encoding time   : 0.000
377.29/52.99	%    Success case prop solver time     : 0.000
377.29/52.99	% Current number of processed clauses  : 3789
377.29/52.99	%    Positive orientable unit clauses  : 839
377.29/52.99	%    Positive unorientable unit clauses: 0
377.29/52.99	%    Negative unit clauses             : 1
377.29/52.99	%    Non-unit-clauses                  : 2949
377.29/52.99	% Current number of unprocessed clauses: 388100
377.29/52.99	% ...number of literals in the above   : 1002199
377.29/52.99	% Current number of archived formulas  : 0
377.29/52.99	% Current number of archived clauses   : 102
377.29/52.99	% Clause-clause subsumption calls (NU) : 524199
377.29/52.99	% Rec. Clause-clause subsumption calls : 258949
377.29/52.99	% Non-unit clause-clause subsumptions  : 1556
377.29/52.99	% Unit Clause-clause subsumption calls : 12969
377.29/52.99	% Rewrite failures with RHS unbound    : 0
377.29/52.99	% BW rewrite match attempts            : 13853
377.29/52.99	% BW rewrite match successes           : 27
377.29/52.99	% Condensation attempts                : 6441
377.29/52.99	% Condensation successes               : 75
377.29/52.99	% Termbank termtop insertions          : 20748365
377.29/52.99	% Search garbage collected termcells   : 2062
377.29/52.99	
377.29/52.99	% -------------------------------------------------
377.29/52.99	% User time                : 50.391 s
377.29/52.99	% System time              : 1.210 s
377.29/52.99	% Total time               : 51.602 s
377.29/52.99	% Maximum resident set size: 4000 pages
377.29/52.99	
377.29/52.99	% -------------------------------------------------
377.29/52.99	% User time                : 50.394 s
377.29/52.99	% System time              : 1.221 s
377.29/52.99	% Total time               : 51.615 s
377.29/52.99	% Maximum resident set size: 4864 pages
377.29/52.99	% E exiting
377.29/52.99	EOF